Atkin-Lehner |
2- 5+ 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
105350cm |
Isogeny class |
Conductor |
105350 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
2304000 |
Modular degree for the optimal curve |
Δ |
-67979062812500000 = -1 · 25 · 510 · 76 · 432 |
Discriminant |
Eigenvalues |
2- -3 5+ 7- 3 0 -7 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,101445,1615947] |
[a1,a2,a3,a4,a6] |
Generators |
[135:-4282:1] |
Generators of the group modulo torsion |
j |
100491975/59168 |
j-invariant |
L |
5.6367715511695 |
L(r)(E,1)/r! |
Ω |
0.21112367141751 |
Real period |
R |
1.3349454129665 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000029486 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
105350bu1 2150k1 |
Quadratic twists by: 5 -7 |